Homotopy perturbation method for fractional Fornberg-Whitham equation

Authors:
Praveen Kumar Gupta;Mithilesh Singh
Affiliations:
Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India;Department of Mathematics, Dehradun Institute of Technology, Dehradun, India
Venue:
Computers & Mathematics with Applications
Year:
2011

Citing 4
Cited 4

Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)

Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)
Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations

Computers & Mathematics with Applications
The homotopy analysis method for solving the Fornberg-Whitham equation and comparison with Adomian's decomposition method

Computers & Mathematics with Applications
Analytical approximate solutions of the fractional convection-diffusion equation with nonlinear source term by He's homotopy perturbation method

International Journal of Computer Mathematics

Approximate analytical solutions of fractional Benney-Lin equation by reduced differential transform method and the homotopy perturbation method

Computers & Mathematics with Applications
The effects of variable viscosity and thermal conductivity on a thin film flow over a shrinking/stretching sheet

Computers & Mathematics with Applications
Variational iteration method for the time-fractional Fornberg-Whitham equation

Computers & Mathematics with Applications
New solutions for some time fractional differential equations

International Journal of Computing Science and Mathematics

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Abstract

This article presents the approximate analytical solutions to solve the nonlinear Fornberg-Whitham equation with fractional time derivative. By using initial values, the explicit solutions of the equations are solved by using a reliable algorithm like homotopy perturbation method. The fractional derivatives are taken in the Caputo sense. Numerical results show that the HPM is easy to implement and accurate when applied to time-fractional PDEs.